Course: CAAM 28200=STAT 28200
Title: Dynamical Systems with Applications
Instructor(s): Mary Silber
Teaching Assistant(s): Solomon Quinn
Class Schedule: Sec 01: MW 1:30 PM–2:50 PM in Jones 226
Description: This course is concerned with the analysis of nonlinear dynamical systems arising in the context of mathematical modeling. The focus is on qualitative analysis of solutions as trajectories in phase space, including the role of invariant manifolds as organizers of behavior. Local and global bifurcations, which occur as system parameters change, will be highlighted, along with other dimension reduction methods that arise when there is a natural time-scale separation. Concepts of bi-stability, spontaneous oscillations, and chaotic dynamics will be explored through investigation of conceptual mathematical models arising in the physical and biological sciences.